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Question 3

The document outlines the critical path for a project consisting of various tasks with specified durations and dependencies. The critical path is identified as A -> B -> C -> F -> G -> H -> I -> K, with a total planned duration of 66 days or approximately 13 weeks. Additionally, it identifies non-critical tasks D, E, and J, with floats of 14, 4, and 61 days respectively, allowing for scheduling flexibility without impacting the project timeline.

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11 views2 pages

Question 3

The document outlines the critical path for a project consisting of various tasks with specified durations and dependencies. The critical path is identified as A -> B -> C -> F -> G -> H -> I -> K, with a total planned duration of 66 days or approximately 13 weeks. Additionally, it identifies non-critical tasks D, E, and J, with floats of 14, 4, and 61 days respectively, allowing for scheduling flexibility without impacting the project timeline.

Uploaded by

Tich
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Question 3

Using the provided project tasks, we need to determine the critical path, the planned
duration of the project, and identify any non-critical tasks and their float (free slack).

3.1 Critical Path of the Project

To find the critical path, we need to list all tasks, their durations, and their
dependencies. The critical path is the longest path through the project, indicating the
minimum time required to complete the project. Here’s the breakdown:

 Task A: Requirement Analysis (4 days)

 Task B: Systems Design (12 days, predecessor: A)

 Task C: Programming (20 days, predecessor: B)

 Task D: Telecoms (6 days, predecessor: B)

 Task E: Hardware Installation (23 days, predecessor: B)

 Task F: Integration (7 days, predecessors: C, D)

 Task G: System Testing (13 days, predecessors: E, F)

 Task H: Documentation (2 days, predecessor: G)

 Task I: Training/Support (5 days, predecessor: H)

 Task J: Handover and Go-Live (3 days, predecessor: H)

 Task K: Maintenance (3 days, predecessors: I, J)

Using this information, we construct the network and determine the critical path by
identifying the longest duration path:

1. A -> B -> C -> F -> G -> H -> I -> K

o A (4) + B (12) + C (20) + F (7) + G (13) + H (2) + I (5) + K (3) = 66 days

2. A -> B -> D -> F -> G -> H -> I -> K

o A (4) + B (12) + D (6) + F (7) + G (13) + H (2) + I (5) + K (3) = 52 days

3. A -> B -> E -> G -> H -> I -> K

o A (4) + B (12) + E (23) + G (13) + H (2) + I (5) + K (3) = 62 days

The longest duration is 66 days, so the critical path is:

A -> B -> C -> F -> G -> H -> I -> K.


3.2 Calculate the Planned Duration of the Project in Weeks

The planned duration in days for the critical path is 66 days. Assuming a standard
working week of 5 days:

Planned Duration in Weeks=66 days5 days/week=13.2 weeks\text{Planned Duration


in Weeks} = \frac{66 \text{ days}}{5 \text{ days/week}} = 13.2 \
text{ weeks}Planned Duration in Weeks=5 days/week66 days=13.2 weeks

Rounding to the nearest whole number, the planned duration is 13 weeks.

3.3 Identify Non-Critical Tasks and Their Float

Non-critical tasks are those not on the critical path and thus have some flexibility in
their start and finish times without affecting the project’s end date. The float or free
slack is the amount of time a task can be delayed without delaying the project.

From the critical path analysis:

 Task D (Telecoms):

o Float: Critical Path (66 days) - Path A -> B -> D -> F -> G -> H -> I -> K
(52 days) = 14 days

 Task E (Hardware Installation):

o Float: Critical Path (66 days) - Path A -> B -> E -> G -> H -> I -> K (62
days) = 4 days

 Task J (Handover and Go-Live):

o Float: Critical Path (66 days) - Path A -> B -> C -> F -> G -> H -> J (4)
= 61 days

Non-critical tasks D, E, and J have floats of 14, 4, and 61 days, respectively. This
float time allows for flexibility in scheduling these tasks without affecting the overall
project duration.

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